It really depends on dates.
Profiles of people born over 150 years ago or who died over 100 years ago must be Open.
If you have someone such as your own mum or dad (if they have died), then you can choose a different level of privacy than open. (I use green locks for mine, as that allows people to read the profiles and see the tree, but only the trusted list can edit.)
Wikitreers choose all different levels for their own profiles, because we are living and cannot have open profiles.
My own is set to "Private with Public Family Tree" .. mostly because I don't have a biography to read, just a listing of my ancestors. Oh, and bling. I have my bling (not as much as some folk do, though).